Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(589,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.589");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 589.2 | ||
Root | \(1.45161 + 1.45161i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 735.589 |
Dual form | 735.2.d.b.589.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.90321i | − | 1.34577i | −0.739745 | − | 0.672887i | \(-0.765054\pi\) | ||
0.739745 | − | 0.672887i | \(-0.234946\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.62222 | −0.811108 | ||||||||
\(5\) | −0.311108 | + | 2.21432i | −0.139132 | + | 0.990274i | ||||
\(6\) | −1.90321 | −0.776983 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 0.719004i | − | 0.254206i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.21432 | + | 0.592104i | 1.33268 | + | 0.187240i | ||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | 1.62222i | 0.468293i | ||||||||
\(13\) | − | 6.42864i | − | 1.78298i | −0.453037 | − | 0.891492i | \(-0.649659\pi\) | ||
0.453037 | − | 0.891492i | \(-0.350341\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.21432 | + | 0.311108i | 0.571735 | + | 0.0803277i | ||||
\(16\) | −4.61285 | −1.15321 | ||||||||
\(17\) | − | 4.42864i | − | 1.07410i | −0.843550 | − | 0.537051i | \(-0.819538\pi\) | ||
0.843550 | − | 0.537051i | \(-0.180462\pi\) | |||||||
\(18\) | 1.90321i | 0.448591i | ||||||||
\(19\) | −2.42864 | −0.557168 | −0.278584 | − | 0.960412i | \(-0.589865\pi\) | ||||
−0.278584 | + | 0.960412i | \(0.589865\pi\) | |||||||
\(20\) | 0.504684 | − | 3.59210i | 0.112851 | − | 0.803219i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 3.80642i | − | 0.811532i | ||||||
\(23\) | − | 1.37778i | − | 0.287288i | −0.989629 | − | 0.143644i | \(-0.954118\pi\) | ||
0.989629 | − | 0.143644i | \(-0.0458820\pi\) | |||||||
\(24\) | −0.719004 | −0.146766 | ||||||||
\(25\) | −4.80642 | − | 1.37778i | −0.961285 | − | 0.275557i | ||||
\(26\) | −12.2351 | −2.39949 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.755569 | −0.140306 | −0.0701528 | − | 0.997536i | \(-0.522349\pi\) | ||||
−0.0701528 | + | 0.997536i | \(0.522349\pi\) | |||||||
\(30\) | 0.592104 | − | 4.21432i | 0.108103 | − | 0.769426i | ||||
\(31\) | −5.18421 | −0.931111 | −0.465556 | − | 0.885019i | \(-0.654145\pi\) | ||||
−0.465556 | + | 0.885019i | \(0.654145\pi\) | |||||||
\(32\) | 7.34122i | 1.29776i | ||||||||
\(33\) | − | 2.00000i | − | 0.348155i | ||||||
\(34\) | −8.42864 | −1.44550 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.62222 | 0.270369 | ||||||||
\(37\) | 7.61285i | 1.25154i | 0.780006 | + | 0.625772i | \(0.215216\pi\) | ||||
−0.780006 | + | 0.625772i | \(0.784784\pi\) | |||||||
\(38\) | 4.62222i | 0.749822i | ||||||||
\(39\) | −6.42864 | −1.02941 | ||||||||
\(40\) | 1.59210 | + | 0.223688i | 0.251734 | + | 0.0353681i | ||||
\(41\) | 8.23506 | 1.28610 | 0.643050 | − | 0.765824i | \(-0.277669\pi\) | ||||
0.643050 | + | 0.765824i | \(0.277669\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 10.1017i | − | 1.54050i | −0.637744 | − | 0.770248i | \(-0.720132\pi\) | ||
0.637744 | − | 0.770248i | \(-0.279868\pi\) | |||||||
\(44\) | −3.24443 | −0.489116 | ||||||||
\(45\) | 0.311108 | − | 2.21432i | 0.0463772 | − | 0.330091i | ||||
\(46\) | −2.62222 | −0.386625 | ||||||||
\(47\) | − | 2.75557i | − | 0.401941i | −0.979597 | − | 0.200971i | \(-0.935590\pi\) | ||
0.979597 | − | 0.200971i | \(-0.0644095\pi\) | |||||||
\(48\) | 4.61285i | 0.665807i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.62222 | + | 9.14764i | −0.370837 | + | 1.29367i | ||||
\(51\) | −4.42864 | −0.620134 | ||||||||
\(52\) | 10.4286i | 1.44619i | ||||||||
\(53\) | − | 9.18421i | − | 1.26155i | −0.775967 | − | 0.630774i | \(-0.782737\pi\) | ||
0.775967 | − | 0.630774i | \(-0.217263\pi\) | |||||||
\(54\) | 1.90321 | 0.258994 | ||||||||
\(55\) | −0.622216 | + | 4.42864i | −0.0838995 | + | 0.597158i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.42864i | 0.321681i | ||||||||
\(58\) | 1.43801i | 0.188820i | ||||||||
\(59\) | 14.1017 | 1.83589 | 0.917943 | − | 0.396712i | \(-0.129849\pi\) | ||||
0.917943 | + | 0.396712i | \(0.129849\pi\) | |||||||
\(60\) | −3.59210 | − | 0.504684i | −0.463739 | − | 0.0651544i | ||||
\(61\) | −6.85728 | −0.877985 | −0.438992 | − | 0.898491i | \(-0.644664\pi\) | ||||
−0.438992 | + | 0.898491i | \(0.644664\pi\) | |||||||
\(62\) | 9.86665i | 1.25307i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.74620 | 0.593275 | ||||||||
\(65\) | 14.2351 | + | 2.00000i | 1.76564 | + | 0.248069i | ||||
\(66\) | −3.80642 | −0.468538 | ||||||||
\(67\) | 2.75557i | 0.336646i | 0.985732 | + | 0.168323i | \(0.0538352\pi\) | ||||
−0.985732 | + | 0.168323i | \(0.946165\pi\) | |||||||
\(68\) | 7.18421i | 0.871213i | ||||||||
\(69\) | −1.37778 | −0.165866 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.00000 | 0.237356 | 0.118678 | − | 0.992933i | \(-0.462134\pi\) | ||||
0.118678 | + | 0.992933i | \(0.462134\pi\) | |||||||
\(72\) | 0.719004i | 0.0847354i | ||||||||
\(73\) | − | 1.57136i | − | 0.183914i | −0.995763 | − | 0.0919569i | \(-0.970688\pi\) | ||
0.995763 | − | 0.0919569i | \(-0.0293122\pi\) | |||||||
\(74\) | 14.4889 | 1.68430 | ||||||||
\(75\) | −1.37778 | + | 4.80642i | −0.159093 | + | 0.554998i | ||||
\(76\) | 3.93978 | 0.451923 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 12.2351i | 1.38535i | ||||||||
\(79\) | 4.85728 | 0.546487 | 0.273243 | − | 0.961945i | \(-0.411904\pi\) | ||||
0.273243 | + | 0.961945i | \(0.411904\pi\) | |||||||
\(80\) | 1.43509 | − | 10.2143i | 0.160448 | − | 1.14200i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 15.6731i | − | 1.73080i | ||||||
\(83\) | 11.6128i | 1.27468i | 0.770585 | + | 0.637338i | \(0.219964\pi\) | ||||
−0.770585 | + | 0.637338i | \(0.780036\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.80642 | + | 1.37778i | 1.06366 | + | 0.149442i | ||||
\(86\) | −19.2257 | −2.07316 | ||||||||
\(87\) | 0.755569i | 0.0810055i | ||||||||
\(88\) | − | 1.43801i | − | 0.153292i | ||||||
\(89\) | 4.62222 | 0.489954 | 0.244977 | − | 0.969529i | \(-0.421220\pi\) | ||||
0.244977 | + | 0.969529i | \(0.421220\pi\) | |||||||
\(90\) | −4.21432 | − | 0.592104i | −0.444228 | − | 0.0624133i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.23506i | 0.233021i | ||||||||
\(93\) | 5.18421i | 0.537577i | ||||||||
\(94\) | −5.24443 | −0.540922 | ||||||||
\(95\) | 0.755569 | − | 5.37778i | 0.0775197 | − | 0.551749i | ||||
\(96\) | 7.34122 | 0.749260 | ||||||||
\(97\) | 11.9398i | 1.21230i | 0.795350 | + | 0.606150i | \(0.207287\pi\) | ||||
−0.795350 | + | 0.606150i | \(0.792713\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.00000 | −0.201008 | ||||||||
\(100\) | 7.79706 | + | 2.23506i | 0.779706 | + | 0.223506i | ||||
\(101\) | −1.47949 | −0.147215 | −0.0736076 | − | 0.997287i | \(-0.523451\pi\) | ||||
−0.0736076 | + | 0.997287i | \(0.523451\pi\) | |||||||
\(102\) | 8.42864i | 0.834560i | ||||||||
\(103\) | − | 8.85728i | − | 0.872734i | −0.899769 | − | 0.436367i | \(-0.856265\pi\) | ||
0.899769 | − | 0.436367i | \(-0.143735\pi\) | |||||||
\(104\) | −4.62222 | −0.453246 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.4795 | −1.69776 | ||||||||
\(107\) | 1.76494i | 0.170623i | 0.996354 | + | 0.0853114i | \(0.0271885\pi\) | ||||
−0.996354 | + | 0.0853114i | \(0.972811\pi\) | |||||||
\(108\) | − | 1.62222i | − | 0.156098i | ||||||
\(109\) | −5.61285 | −0.537613 | −0.268807 | − | 0.963194i | \(-0.586629\pi\) | ||||
−0.268807 | + | 0.963194i | \(0.586629\pi\) | |||||||
\(110\) | 8.42864 | + | 1.18421i | 0.803639 | + | 0.112910i | ||||
\(111\) | 7.61285 | 0.722580 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 11.2859i | 1.06169i | 0.847469 | + | 0.530845i | \(0.178125\pi\) | ||||
−0.847469 | + | 0.530845i | \(0.821875\pi\) | |||||||
\(114\) | 4.62222 | 0.432910 | ||||||||
\(115\) | 3.05086 | + | 0.428639i | 0.284494 | + | 0.0399708i | ||||
\(116\) | 1.22570 | 0.113803 | ||||||||
\(117\) | 6.42864i | 0.594328i | ||||||||
\(118\) | − | 26.8385i | − | 2.47069i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.223688 | − | 1.59210i | 0.0204198 | − | 0.145339i | ||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 13.0509i | 1.18157i | ||||||||
\(123\) | − | 8.23506i | − | 0.742531i | ||||||
\(124\) | 8.40990 | 0.755232 | ||||||||
\(125\) | 4.54617 | − | 10.2143i | 0.406622 | − | 0.913597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 12.8573i | − | 1.14090i | −0.821333 | − | 0.570450i | \(-0.806769\pi\) | ||
0.821333 | − | 0.570450i | \(-0.193231\pi\) | |||||||
\(128\) | 5.64941i | 0.499342i | ||||||||
\(129\) | −10.1017 | −0.889406 | ||||||||
\(130\) | 3.80642 | − | 27.0923i | 0.333845 | − | 2.37616i | ||||
\(131\) | 2.10171 | 0.183627 | 0.0918136 | − | 0.995776i | \(-0.470734\pi\) | ||||
0.0918136 | + | 0.995776i | \(0.470734\pi\) | |||||||
\(132\) | 3.24443i | 0.282391i | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 5.24443 | 0.453050 | ||||||||
\(135\) | −2.21432 | − | 0.311108i | −0.190578 | − | 0.0267759i | ||||
\(136\) | −3.18421 | −0.273044 | ||||||||
\(137\) | 15.9398i | 1.36183i | 0.732364 | + | 0.680914i | \(0.238417\pi\) | ||||
−0.732364 | + | 0.680914i | \(0.761583\pi\) | |||||||
\(138\) | 2.62222i | 0.223218i | ||||||||
\(139\) | 11.6731 | 0.990097 | 0.495048 | − | 0.868865i | \(-0.335150\pi\) | ||||
0.495048 | + | 0.868865i | \(0.335150\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.75557 | −0.232061 | ||||||||
\(142\) | − | 3.80642i | − | 0.319428i | ||||||
\(143\) | − | 12.8573i | − | 1.07518i | ||||||
\(144\) | 4.61285 | 0.384404 | ||||||||
\(145\) | 0.235063 | − | 1.67307i | 0.0195209 | − | 0.138941i | ||||
\(146\) | −2.99063 | −0.247506 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 12.3497i | − | 1.01514i | ||||||
\(149\) | 21.2257 | 1.73888 | 0.869438 | − | 0.494041i | \(-0.164481\pi\) | ||||
0.869438 | + | 0.494041i | \(0.164481\pi\) | |||||||
\(150\) | 9.14764 | + | 2.62222i | 0.746902 | + | 0.214103i | ||||
\(151\) | 16.8573 | 1.37183 | 0.685913 | − | 0.727684i | \(-0.259403\pi\) | ||||
0.685913 | + | 0.727684i | \(0.259403\pi\) | |||||||
\(152\) | 1.74620i | 0.141636i | ||||||||
\(153\) | 4.42864i | 0.358034i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.61285 | − | 11.4795i | 0.129547 | − | 0.922055i | ||||
\(156\) | 10.4286 | 0.834959 | ||||||||
\(157\) | 10.4286i | 0.832296i | 0.909297 | + | 0.416148i | \(0.136620\pi\) | ||||
−0.909297 | + | 0.416148i | \(0.863380\pi\) | |||||||
\(158\) | − | 9.24443i | − | 0.735447i | ||||||
\(159\) | −9.18421 | −0.728355 | ||||||||
\(160\) | −16.2558 | − | 2.28391i | −1.28513 | − | 0.180559i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 1.90321i | − | 0.149530i | ||||||
\(163\) | − | 20.8573i | − | 1.63367i | −0.576873 | − | 0.816834i | \(-0.695727\pi\) | ||
0.576873 | − | 0.816834i | \(-0.304273\pi\) | |||||||
\(164\) | −13.3590 | −1.04317 | ||||||||
\(165\) | 4.42864 | + | 0.622216i | 0.344769 | + | 0.0484394i | ||||
\(166\) | 22.1017 | 1.71543 | ||||||||
\(167\) | − | 15.3461i | − | 1.18752i | −0.804642 | − | 0.593760i | \(-0.797643\pi\) | ||
0.804642 | − | 0.593760i | \(-0.202357\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −28.3274 | −2.17903 | ||||||||
\(170\) | 2.62222 | − | 18.6637i | 0.201115 | − | 1.43144i | ||||
\(171\) | 2.42864 | 0.185723 | ||||||||
\(172\) | 16.3872i | 1.24951i | ||||||||
\(173\) | 2.06022i | 0.156636i | 0.996928 | + | 0.0783179i | \(0.0249549\pi\) | ||||
−0.996928 | + | 0.0783179i | \(0.975045\pi\) | |||||||
\(174\) | 1.43801 | 0.109015 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.22570 | −0.695413 | ||||||||
\(177\) | − | 14.1017i | − | 1.05995i | ||||||
\(178\) | − | 8.79706i | − | 0.659367i | ||||||
\(179\) | −10.0000 | −0.747435 | −0.373718 | − | 0.927543i | \(-0.621917\pi\) | ||||
−0.373718 | + | 0.927543i | \(0.621917\pi\) | |||||||
\(180\) | −0.504684 | + | 3.59210i | −0.0376169 | + | 0.267740i | ||||
\(181\) | 12.1017 | 0.899513 | 0.449757 | − | 0.893151i | \(-0.351511\pi\) | ||||
0.449757 | + | 0.893151i | \(0.351511\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.85728i | 0.506905i | ||||||||
\(184\) | −0.990632 | −0.0730304 | ||||||||
\(185\) | −16.8573 | − | 2.36842i | −1.23937 | − | 0.174129i | ||||
\(186\) | 9.86665 | 0.723458 | ||||||||
\(187\) | − | 8.85728i | − | 0.647708i | ||||||
\(188\) | 4.47013i | 0.326017i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.2351 | − | 1.43801i | −0.742530 | − | 0.104324i | ||||
\(191\) | 0.488863 | 0.0353729 | 0.0176864 | − | 0.999844i | \(-0.494370\pi\) | ||||
0.0176864 | + | 0.999844i | \(0.494370\pi\) | |||||||
\(192\) | − | 4.74620i | − | 0.342528i | ||||||
\(193\) | 22.9590i | 1.65262i | 0.563212 | + | 0.826312i | \(0.309565\pi\) | ||||
−0.563212 | + | 0.826312i | \(0.690435\pi\) | |||||||
\(194\) | 22.7239 | 1.63148 | ||||||||
\(195\) | 2.00000 | − | 14.2351i | 0.143223 | − | 1.01939i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 1.18421i | − | 0.0843713i | −0.999110 | − | 0.0421857i | \(-0.986568\pi\) | ||
0.999110 | − | 0.0421857i | \(-0.0134321\pi\) | |||||||
\(198\) | 3.80642i | 0.270511i | ||||||||
\(199\) | 8.79706 | 0.623607 | 0.311803 | − | 0.950147i | \(-0.399067\pi\) | ||||
0.311803 | + | 0.950147i | \(0.399067\pi\) | |||||||
\(200\) | −0.990632 | + | 3.45584i | −0.0700483 | + | 0.244365i | ||||
\(201\) | 2.75557 | 0.194363 | ||||||||
\(202\) | 2.81579i | 0.198118i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.18421 | 0.502995 | ||||||||
\(205\) | −2.56199 | + | 18.2351i | −0.178937 | + | 1.27359i | ||||
\(206\) | −16.8573 | −1.17450 | ||||||||
\(207\) | 1.37778i | 0.0957626i | ||||||||
\(208\) | 29.6543i | 2.05616i | ||||||||
\(209\) | −4.85728 | −0.335985 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 23.2257 | 1.59892 | 0.799461 | − | 0.600717i | \(-0.205118\pi\) | ||||
0.799461 | + | 0.600717i | \(0.205118\pi\) | |||||||
\(212\) | 14.8988i | 1.02325i | ||||||||
\(213\) | − | 2.00000i | − | 0.137038i | ||||||
\(214\) | 3.35905 | 0.229620 | ||||||||
\(215\) | 22.3684 | + | 3.14272i | 1.52551 | + | 0.214332i | ||||
\(216\) | 0.719004 | 0.0489220 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 10.6824i | 0.723506i | ||||||||
\(219\) | −1.57136 | −0.106183 | ||||||||
\(220\) | 1.00937 | − | 7.18421i | 0.0680516 | − | 0.484359i | ||||
\(221\) | −28.4701 | −1.91511 | ||||||||
\(222\) | − | 14.4889i | − | 0.972429i | ||||||
\(223\) | − | 15.2257i | − | 1.01959i | −0.860297 | − | 0.509794i | \(-0.829722\pi\) | ||
0.860297 | − | 0.509794i | \(-0.170278\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.80642 | + | 1.37778i | 0.320428 | + | 0.0918523i | ||||
\(226\) | 21.4795 | 1.42879 | ||||||||
\(227\) | 14.3684i | 0.953665i | 0.878994 | + | 0.476833i | \(0.158215\pi\) | ||||
−0.878994 | + | 0.476833i | \(0.841785\pi\) | |||||||
\(228\) | − | 3.93978i | − | 0.260918i | ||||||
\(229\) | −5.61285 | −0.370907 | −0.185454 | − | 0.982653i | \(-0.559375\pi\) | ||||
−0.185454 | + | 0.982653i | \(0.559375\pi\) | |||||||
\(230\) | 0.815792 | − | 5.80642i | 0.0537917 | − | 0.382864i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.543257i | 0.0356666i | ||||||||
\(233\) | − | 23.2859i | − | 1.52551i | −0.646687 | − | 0.762756i | \(-0.723846\pi\) | ||
0.646687 | − | 0.762756i | \(-0.276154\pi\) | |||||||
\(234\) | 12.2351 | 0.799831 | ||||||||
\(235\) | 6.10171 | + | 0.857279i | 0.398032 | + | 0.0559227i | ||||
\(236\) | −22.8760 | −1.48910 | ||||||||
\(237\) | − | 4.85728i | − | 0.315514i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.48886 | 0.549099 | 0.274549 | − | 0.961573i | \(-0.411471\pi\) | ||||
0.274549 | + | 0.961573i | \(0.411471\pi\) | |||||||
\(240\) | −10.2143 | − | 1.43509i | −0.659332 | − | 0.0926349i | ||||
\(241\) | 7.24443 | 0.466655 | 0.233327 | − | 0.972398i | \(-0.425039\pi\) | ||||
0.233327 | + | 0.972398i | \(0.425039\pi\) | |||||||
\(242\) | 13.3225i | 0.856402i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 11.1240 | 0.712140 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −15.6731 | −0.999278 | ||||||||
\(247\) | 15.6128i | 0.993422i | ||||||||
\(248\) | 3.72746i | 0.236694i | ||||||||
\(249\) | 11.6128 | 0.735934 | ||||||||
\(250\) | −19.4400 | − | 8.65233i | −1.22949 | − | 0.547221i | ||||
\(251\) | −27.6128 | −1.74291 | −0.871454 | − | 0.490478i | \(-0.836822\pi\) | ||||
−0.871454 | + | 0.490478i | \(0.836822\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 2.75557i | − | 0.173241i | ||||||
\(254\) | −24.4701 | −1.53539 | ||||||||
\(255\) | 1.37778 | − | 9.80642i | 0.0862802 | − | 0.614102i | ||||
\(256\) | 20.2444 | 1.26528 | ||||||||
\(257\) | 0.428639i | 0.0267378i | 0.999911 | + | 0.0133689i | \(0.00425558\pi\) | ||||
−0.999911 | + | 0.0133689i | \(0.995744\pi\) | |||||||
\(258\) | 19.2257i | 1.19694i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −23.0923 | − | 3.24443i | −1.43213 | − | 0.201211i | ||||
\(261\) | 0.755569 | 0.0467685 | ||||||||
\(262\) | − | 4.00000i | − | 0.247121i | ||||||
\(263\) | 9.37778i | 0.578259i | 0.957290 | + | 0.289129i | \(0.0933658\pi\) | ||||
−0.957290 | + | 0.289129i | \(0.906634\pi\) | |||||||
\(264\) | −1.43801 | −0.0885032 | ||||||||
\(265\) | 20.3368 | + | 2.85728i | 1.24928 | + | 0.175521i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 4.62222i | − | 0.282875i | ||||||
\(268\) | − | 4.47013i | − | 0.273056i | ||||||
\(269\) | 1.74620 | 0.106468 | 0.0532339 | − | 0.998582i | \(-0.483047\pi\) | ||||
0.0532339 | + | 0.998582i | \(0.483047\pi\) | |||||||
\(270\) | −0.592104 | + | 4.21432i | −0.0360343 | + | 0.256475i | ||||
\(271\) | 2.69535 | 0.163731 | 0.0818653 | − | 0.996643i | \(-0.473912\pi\) | ||||
0.0818653 | + | 0.996643i | \(0.473912\pi\) | |||||||
\(272\) | 20.4286i | 1.23867i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 30.3368 | 1.83271 | ||||||||
\(275\) | −9.61285 | − | 2.75557i | −0.579677 | − | 0.166167i | ||||
\(276\) | 2.23506 | 0.134535 | ||||||||
\(277\) | − | 5.12399i | − | 0.307870i | −0.988081 | − | 0.153935i | \(-0.950805\pi\) | ||
0.988081 | − | 0.153935i | \(-0.0491947\pi\) | |||||||
\(278\) | − | 22.2163i | − | 1.33245i | ||||||
\(279\) | 5.18421 | 0.310370 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 23.9813 | 1.43060 | 0.715301 | − | 0.698816i | \(-0.246290\pi\) | ||||
0.715301 | + | 0.698816i | \(0.246290\pi\) | |||||||
\(282\) | 5.24443i | 0.312301i | ||||||||
\(283\) | 2.36842i | 0.140788i | 0.997519 | + | 0.0703939i | \(0.0224256\pi\) | ||||
−0.997519 | + | 0.0703939i | \(0.977574\pi\) | |||||||
\(284\) | −3.24443 | −0.192522 | ||||||||
\(285\) | −5.37778 | − | 0.755569i | −0.318552 | − | 0.0447560i | ||||
\(286\) | −24.4701 | −1.44695 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 7.34122i | − | 0.432585i | ||||||
\(289\) | −2.61285 | −0.153697 | ||||||||
\(290\) | −3.18421 | − | 0.447375i | −0.186983 | − | 0.0262708i | ||||
\(291\) | 11.9398 | 0.699922 | ||||||||
\(292\) | 2.54909i | 0.149174i | ||||||||
\(293\) | 8.42864i | 0.492406i | 0.969218 | + | 0.246203i | \(0.0791831\pi\) | ||||
−0.969218 | + | 0.246203i | \(0.920817\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.38715 | + | 31.2257i | −0.255430 | + | 1.81803i | ||||
\(296\) | 5.47367 | 0.318150 | ||||||||
\(297\) | 2.00000i | 0.116052i | ||||||||
\(298\) | − | 40.3970i | − | 2.34014i | ||||||
\(299\) | −8.85728 | −0.512230 | ||||||||
\(300\) | 2.23506 | − | 7.79706i | 0.129041 | − | 0.450163i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 32.0830i | − | 1.84617i | ||||||
\(303\) | 1.47949i | 0.0849947i | ||||||||
\(304\) | 11.2029 | 0.642533 | ||||||||
\(305\) | 2.13335 | − | 15.1842i | 0.122155 | − | 0.869445i | ||||
\(306\) | 8.42864 | 0.481833 | ||||||||
\(307\) | 22.5718i | 1.28824i | 0.764923 | + | 0.644121i | \(0.222777\pi\) | ||||
−0.764923 | + | 0.644121i | \(0.777223\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.85728 | −0.503873 | ||||||||
\(310\) | −21.8479 | − | 3.06959i | −1.24088 | − | 0.174341i | ||||
\(311\) | 24.0830 | 1.36562 | 0.682810 | − | 0.730596i | \(-0.260758\pi\) | ||||
0.682810 | + | 0.730596i | \(0.260758\pi\) | |||||||
\(312\) | 4.62222i | 0.261681i | ||||||||
\(313\) | 9.65433i | 0.545695i | 0.962057 | + | 0.272848i | \(0.0879655\pi\) | ||||
−0.962057 | + | 0.272848i | \(0.912035\pi\) | |||||||
\(314\) | 19.8479 | 1.12008 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.87955 | −0.443260 | ||||||||
\(317\) | − | 6.04149i | − | 0.339324i | −0.985502 | − | 0.169662i | \(-0.945732\pi\) | ||
0.985502 | − | 0.169662i | \(-0.0542676\pi\) | |||||||
\(318\) | 17.4795i | 0.980201i | ||||||||
\(319\) | −1.51114 | −0.0846075 | ||||||||
\(320\) | −1.47658 | + | 10.5096i | −0.0825433 | + | 0.587505i | ||||
\(321\) | 1.76494 | 0.0985092 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.7556i | 0.598456i | ||||||||
\(324\) | −1.62222 | −0.0901231 | ||||||||
\(325\) | −8.85728 | + | 30.8988i | −0.491313 | + | 1.71396i | ||||
\(326\) | −39.6958 | −2.19855 | ||||||||
\(327\) | 5.61285i | 0.310391i | ||||||||
\(328\) | − | 5.92104i | − | 0.326935i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.18421 | − | 8.42864i | 0.0651885 | − | 0.463981i | ||||
\(331\) | 13.5111 | 0.742639 | 0.371320 | − | 0.928505i | \(-0.378905\pi\) | ||||
0.371320 | + | 0.928505i | \(0.378905\pi\) | |||||||
\(332\) | − | 18.8385i | − | 1.03390i | ||||||
\(333\) | − | 7.61285i | − | 0.417181i | ||||||
\(334\) | −29.2070 | −1.59813 | ||||||||
\(335\) | −6.10171 | − | 0.857279i | −0.333372 | − | 0.0468382i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.4889i | 0.571365i | 0.958324 | + | 0.285682i | \(0.0922202\pi\) | ||||
−0.958324 | + | 0.285682i | \(0.907780\pi\) | |||||||
\(338\) | 53.9131i | 2.93248i | ||||||||
\(339\) | 11.2859 | 0.612967 | ||||||||
\(340\) | −15.9081 | − | 2.23506i | −0.862740 | − | 0.121213i | ||||
\(341\) | −10.3684 | −0.561481 | ||||||||
\(342\) | − | 4.62222i | − | 0.249941i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.26317 | −0.391604 | ||||||||
\(345\) | 0.428639 | − | 3.05086i | 0.0230772 | − | 0.164253i | ||||
\(346\) | 3.92104 | 0.210796 | ||||||||
\(347\) | − | 16.7239i | − | 0.897787i | −0.893585 | − | 0.448894i | \(-0.851818\pi\) | ||
0.893585 | − | 0.448894i | \(-0.148182\pi\) | |||||||
\(348\) | − | 1.22570i | − | 0.0657042i | ||||||
\(349\) | −16.3684 | −0.876181 | −0.438091 | − | 0.898931i | \(-0.644345\pi\) | ||||
−0.438091 | + | 0.898931i | \(0.644345\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.42864 | 0.343135 | ||||||||
\(352\) | 14.6824i | 0.782577i | ||||||||
\(353\) | 0.549086i | 0.0292249i | 0.999893 | + | 0.0146124i | \(0.00465145\pi\) | ||||
−0.999893 | + | 0.0146124i | \(0.995349\pi\) | |||||||
\(354\) | −26.8385 | −1.42645 | ||||||||
\(355\) | −0.622216 | + | 4.42864i | −0.0330238 | + | 0.235048i | ||||
\(356\) | −7.49823 | −0.397405 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.0321i | 1.00588i | ||||||||
\(359\) | 0.285442 | 0.0150651 | 0.00753253 | − | 0.999972i | \(-0.497602\pi\) | ||||
0.00753253 | + | 0.999972i | \(0.497602\pi\) | |||||||
\(360\) | −1.59210 | − | 0.223688i | −0.0839113 | − | 0.0117894i | ||||
\(361\) | −13.1017 | −0.689564 | ||||||||
\(362\) | − | 23.0321i | − | 1.21054i | ||||||
\(363\) | 7.00000i | 0.367405i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.47949 | + | 0.488863i | 0.182125 | + | 0.0255882i | ||||
\(366\) | 13.0509 | 0.682179 | ||||||||
\(367\) | − | 1.71456i | − | 0.0894992i | −0.998998 | − | 0.0447496i | \(-0.985751\pi\) | ||
0.998998 | − | 0.0447496i | \(-0.0142490\pi\) | |||||||
\(368\) | 6.35551i | 0.331304i | ||||||||
\(369\) | −8.23506 | −0.428700 | ||||||||
\(370\) | −4.50760 | + | 32.0830i | −0.234339 | + | 1.66791i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 8.40990i | − | 0.436033i | ||||||
\(373\) | − | 16.0000i | − | 0.828449i | −0.910175 | − | 0.414224i | \(-0.864053\pi\) | ||
0.910175 | − | 0.414224i | \(-0.135947\pi\) | |||||||
\(374\) | −16.8573 | −0.871669 | ||||||||
\(375\) | −10.2143 | − | 4.54617i | −0.527465 | − | 0.234763i | ||||
\(376\) | −1.98126 | −0.102176 | ||||||||
\(377\) | 4.85728i | 0.250163i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.85728 | 0.249502 | 0.124751 | − | 0.992188i | \(-0.460187\pi\) | ||||
0.124751 | + | 0.992188i | \(0.460187\pi\) | |||||||
\(380\) | −1.22570 | + | 8.72393i | −0.0628768 | + | 0.447528i | ||||
\(381\) | −12.8573 | −0.658698 | ||||||||
\(382\) | − | 0.930409i | − | 0.0476039i | ||||||
\(383\) | − | 8.38715i | − | 0.428563i | −0.976772 | − | 0.214282i | \(-0.931259\pi\) | ||
0.976772 | − | 0.214282i | \(-0.0687411\pi\) | |||||||
\(384\) | 5.64941 | 0.288295 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 43.6958 | 2.22406 | ||||||||
\(387\) | 10.1017i | 0.513499i | ||||||||
\(388\) | − | 19.3689i | − | 0.983307i | ||||||
\(389\) | −8.95899 | −0.454239 | −0.227119 | − | 0.973867i | \(-0.572931\pi\) | ||||
−0.227119 | + | 0.973867i | \(0.572931\pi\) | |||||||
\(390\) | −27.0923 | − | 3.80642i | −1.37187 | − | 0.192746i | ||||
\(391\) | −6.10171 | −0.308577 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 2.10171i | − | 0.106017i | ||||||
\(394\) | −2.25380 | −0.113545 | ||||||||
\(395\) | −1.51114 | + | 10.7556i | −0.0760336 | + | 0.541171i | ||||
\(396\) | 3.24443 | 0.163039 | ||||||||
\(397\) | 2.54909i | 0.127935i | 0.997952 | + | 0.0639675i | \(0.0203754\pi\) | ||||
−0.997952 | + | 0.0639675i | \(0.979625\pi\) | |||||||
\(398\) | − | 16.7427i | − | 0.839234i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 22.1713 | + | 6.35551i | 1.10857 | + | 0.317775i | ||||
\(401\) | 0.958989 | 0.0478896 | 0.0239448 | − | 0.999713i | \(-0.492377\pi\) | ||||
0.0239448 | + | 0.999713i | \(0.492377\pi\) | |||||||
\(402\) | − | 5.24443i | − | 0.261568i | ||||||
\(403\) | 33.3274i | 1.66016i | ||||||||
\(404\) | 2.40006 | 0.119407 | ||||||||
\(405\) | −0.311108 | + | 2.21432i | −0.0154591 | + | 0.110030i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.2257i | 0.754710i | ||||||||
\(408\) | 3.18421i | 0.157642i | ||||||||
\(409\) | −31.9813 | −1.58137 | −0.790686 | − | 0.612222i | \(-0.790276\pi\) | ||||
−0.790686 | + | 0.612222i | \(0.790276\pi\) | |||||||
\(410\) | 34.7052 | + | 4.87601i | 1.71397 | + | 0.240809i | ||||
\(411\) | 15.9398 | 0.786251 | ||||||||
\(412\) | 14.3684i | 0.707881i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.62222 | 0.128875 | ||||||||
\(415\) | −25.7146 | − | 3.61285i | −1.26228 | − | 0.177348i | ||||
\(416\) | 47.1941 | 2.31388 | ||||||||
\(417\) | − | 11.6731i | − | 0.571633i | ||||||
\(418\) | 9.24443i | 0.452160i | ||||||||
\(419\) | −0.470127 | −0.0229672 | −0.0114836 | − | 0.999934i | \(-0.503655\pi\) | ||||
−0.0114836 | + | 0.999934i | \(0.503655\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −33.6128 | −1.63819 | −0.819095 | − | 0.573658i | \(-0.805524\pi\) | ||||
−0.819095 | + | 0.573658i | \(0.805524\pi\) | |||||||
\(422\) | − | 44.2034i | − | 2.15179i | ||||||
\(423\) | 2.75557i | 0.133980i | ||||||||
\(424\) | −6.60348 | −0.320693 | ||||||||
\(425\) | −6.10171 | + | 21.2859i | −0.295976 | + | 1.03252i | ||||
\(426\) | −3.80642 | −0.184422 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 2.86311i | − | 0.138394i | ||||||
\(429\) | −12.8573 | −0.620755 | ||||||||
\(430\) | 5.98126 | − | 42.5718i | 0.288442 | − | 2.05300i | ||||
\(431\) | 11.7146 | 0.564270 | 0.282135 | − | 0.959375i | \(-0.408957\pi\) | ||||
0.282135 | + | 0.959375i | \(0.408957\pi\) | |||||||
\(432\) | − | 4.61285i | − | 0.221936i | ||||||
\(433\) | − | 0.0602231i | − | 0.00289414i | −0.999999 | − | 0.00144707i | \(-0.999539\pi\) | ||
0.999999 | − | 0.00144707i | \(-0.000460616\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.67307 | − | 0.235063i | −0.0802176 | − | 0.0112704i | ||||
\(436\) | 9.10525 | 0.436062 | ||||||||
\(437\) | 3.34614i | 0.160068i | ||||||||
\(438\) | 2.99063i | 0.142898i | ||||||||
\(439\) | −22.4286 | −1.07046 | −0.535230 | − | 0.844706i | \(-0.679775\pi\) | ||||
−0.535230 | + | 0.844706i | \(0.679775\pi\) | |||||||
\(440\) | 3.18421 | + | 0.447375i | 0.151801 | + | 0.0213278i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 54.1847i | 2.57730i | ||||||||
\(443\) | 23.9496i | 1.13788i | 0.822379 | + | 0.568940i | \(0.192647\pi\) | ||||
−0.822379 | + | 0.568940i | \(0.807353\pi\) | |||||||
\(444\) | −12.3497 | −0.586090 | ||||||||
\(445\) | −1.43801 | + | 10.2351i | −0.0681681 | + | 0.485189i | ||||
\(446\) | −28.9777 | −1.37214 | ||||||||
\(447\) | − | 21.2257i | − | 1.00394i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −29.4291 | −1.38885 | −0.694423 | − | 0.719567i | \(-0.744340\pi\) | ||||
−0.694423 | + | 0.719567i | \(0.744340\pi\) | |||||||
\(450\) | 2.62222 | − | 9.14764i | 0.123612 | − | 0.431224i | ||||
\(451\) | 16.4701 | 0.775548 | ||||||||
\(452\) | − | 18.3082i | − | 0.861145i | ||||||
\(453\) | − | 16.8573i | − | 0.792024i | ||||||
\(454\) | 27.3461 | 1.28342 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.74620 | 0.0817733 | ||||||||
\(457\) | − | 3.14272i | − | 0.147010i | −0.997295 | − | 0.0735051i | \(-0.976581\pi\) | ||
0.997295 | − | 0.0735051i | \(-0.0234185\pi\) | |||||||
\(458\) | 10.6824i | 0.499158i | ||||||||
\(459\) | 4.42864 | 0.206711 | ||||||||
\(460\) | −4.94914 | − | 0.695346i | −0.230755 | − | 0.0324207i | ||||
\(461\) | 3.37778 | 0.157319 | 0.0786596 | − | 0.996902i | \(-0.474936\pi\) | ||||
0.0786596 | + | 0.996902i | \(0.474936\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 20.8573i | − | 0.969320i | −0.874703 | − | 0.484660i | \(-0.838943\pi\) | ||
0.874703 | − | 0.484660i | \(-0.161057\pi\) | |||||||
\(464\) | 3.48532 | 0.161802 | ||||||||
\(465\) | −11.4795 | − | 1.61285i | −0.532349 | − | 0.0747940i | ||||
\(466\) | −44.3180 | −2.05299 | ||||||||
\(467\) | 14.3684i | 0.664891i | 0.943122 | + | 0.332446i | \(0.107874\pi\) | ||||
−0.943122 | + | 0.332446i | \(0.892126\pi\) | |||||||
\(468\) | − | 10.4286i | − | 0.482064i | ||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 1.63158 | − | 11.6128i | 0.0752593 | − | 0.535661i | ||||
\(471\) | 10.4286 | 0.480526 | ||||||||
\(472\) | − | 10.1392i | − | 0.466694i | ||||||
\(473\) | − | 20.2034i | − | 0.928954i | ||||||
\(474\) | −9.24443 | −0.424611 | ||||||||
\(475\) | 11.6731 | + | 3.34614i | 0.535597 | + | 0.153532i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.18421i | 0.420516i | ||||||||
\(478\) | − | 16.1561i | − | 0.738963i | ||||||
\(479\) | 6.36842 | 0.290980 | 0.145490 | − | 0.989360i | \(-0.453524\pi\) | ||||
0.145490 | + | 0.989360i | \(0.453524\pi\) | |||||||
\(480\) | −2.28391 | + | 16.2558i | −0.104246 | + | 0.741973i | ||||
\(481\) | 48.9403 | 2.23148 | ||||||||
\(482\) | − | 13.7877i | − | 0.628012i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.3555 | 0.516160 | ||||||||
\(485\) | −26.4385 | − | 3.71456i | −1.20051 | − | 0.168669i | ||||
\(486\) | −1.90321 | −0.0863314 | ||||||||
\(487\) | 17.3274i | 0.785180i | 0.919714 | + | 0.392590i | \(0.128421\pi\) | ||||
−0.919714 | + | 0.392590i | \(0.871579\pi\) | |||||||
\(488\) | 4.93041i | 0.223189i | ||||||||
\(489\) | −20.8573 | −0.943199 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.00000 | 0.0902587 | 0.0451294 | − | 0.998981i | \(-0.485630\pi\) | ||||
0.0451294 | + | 0.998981i | \(0.485630\pi\) | |||||||
\(492\) | 13.3590i | 0.602272i | ||||||||
\(493\) | 3.34614i | 0.150703i | ||||||||
\(494\) | 29.7146 | 1.33692 | ||||||||
\(495\) | 0.622216 | − | 4.42864i | 0.0279665 | − | 0.199053i | ||||
\(496\) | 23.9140 | 1.07377 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | − | 22.1017i | − | 0.990401i | ||||||
\(499\) | −23.3461 | −1.04512 | −0.522558 | − | 0.852603i | \(-0.675022\pi\) | ||||
−0.522558 | + | 0.852603i | \(0.675022\pi\) | |||||||
\(500\) | −7.37487 | + | 16.5698i | −0.329814 | + | 0.741025i | ||||
\(501\) | −15.3461 | −0.685615 | ||||||||
\(502\) | 52.5531i | 2.34556i | ||||||||
\(503\) | 0.387152i | 0.0172623i | 0.999963 | + | 0.00863113i | \(0.00274741\pi\) | ||||
−0.999963 | + | 0.00863113i | \(0.997253\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.460282 | − | 3.27607i | 0.0204823 | − | 0.145783i | ||||
\(506\) | −5.24443 | −0.233143 | ||||||||
\(507\) | 28.3274i | 1.25806i | ||||||||
\(508\) | 20.8573i | 0.925392i | ||||||||
\(509\) | −29.9496 | −1.32749 | −0.663747 | − | 0.747957i | \(-0.731035\pi\) | ||||
−0.663747 | + | 0.747957i | \(0.731035\pi\) | |||||||
\(510\) | −18.6637 | − | 2.62222i | −0.826443 | − | 0.116114i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 27.2306i | − | 1.20343i | ||||||
\(513\) | − | 2.42864i | − | 0.107227i | ||||||
\(514\) | 0.815792 | 0.0359830 | ||||||||
\(515\) | 19.6128 | + | 2.75557i | 0.864245 | + | 0.121425i | ||||
\(516\) | 16.3872 | 0.721404 | ||||||||
\(517\) | − | 5.51114i | − | 0.242380i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.06022 | 0.0904338 | ||||||||
\(520\) | 1.43801 | − | 10.2351i | 0.0630608 | − | 0.448837i | ||||
\(521\) | 18.5205 | 0.811398 | 0.405699 | − | 0.914007i | \(-0.367028\pi\) | ||||
0.405699 | + | 0.914007i | \(0.367028\pi\) | |||||||
\(522\) | − | 1.43801i | − | 0.0629399i | ||||||
\(523\) | − | 4.00000i | − | 0.174908i | −0.996169 | − | 0.0874539i | \(-0.972127\pi\) | ||
0.996169 | − | 0.0874539i | \(-0.0278730\pi\) | |||||||
\(524\) | −3.40943 | −0.148942 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.8479 | 0.778206 | ||||||||
\(527\) | 22.9590i | 1.00011i | ||||||||
\(528\) | 9.22570i | 0.401497i | ||||||||
\(529\) | 21.1017 | 0.917466 | ||||||||
\(530\) | 5.43801 | − | 38.7052i | 0.236212 | − | 1.68125i | ||||
\(531\) | −14.1017 | −0.611962 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 52.9403i | − | 2.29310i | ||||||
\(534\) | −8.79706 | −0.380686 | ||||||||
\(535\) | −3.90813 | − | 0.549086i | −0.168963 | − | 0.0237390i | ||||
\(536\) | 1.98126 | 0.0855776 | ||||||||
\(537\) | 10.0000i | 0.431532i | ||||||||
\(538\) | − | 3.32339i | − | 0.143282i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 3.59210 | + | 0.504684i | 0.154580 | + | 0.0217181i | ||||
\(541\) | 14.5906 | 0.627298 | 0.313649 | − | 0.949539i | \(-0.398449\pi\) | ||||
0.313649 | + | 0.949539i | \(0.398449\pi\) | |||||||
\(542\) | − | 5.12981i | − | 0.220344i | ||||||
\(543\) | − | 12.1017i | − | 0.519334i | ||||||
\(544\) | 32.5116 | 1.39392 | ||||||||
\(545\) | 1.74620 | − | 12.4286i | 0.0747990 | − | 0.532384i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 18.7556i | − | 0.801930i | −0.916093 | − | 0.400965i | \(-0.868675\pi\) | ||
0.916093 | − | 0.400965i | \(-0.131325\pi\) | |||||||
\(548\) | − | 25.8578i | − | 1.10459i | ||||||
\(549\) | 6.85728 | 0.292662 | ||||||||
\(550\) | −5.24443 | + | 18.2953i | −0.223623 | + | 0.780114i | ||||
\(551\) | 1.83500 | 0.0781738 | ||||||||
\(552\) | 0.990632i | 0.0421641i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −9.75203 | −0.414324 | ||||||||
\(555\) | −2.36842 | + | 16.8573i | −0.100534 | + | 0.715552i | ||||
\(556\) | −18.9362 | −0.803075 | ||||||||
\(557\) | 31.8765i | 1.35065i | 0.737520 | + | 0.675325i | \(0.235997\pi\) | ||||
−0.737520 | + | 0.675325i | \(0.764003\pi\) | |||||||
\(558\) | − | 9.86665i | − | 0.417688i | ||||||
\(559\) | −64.9403 | −2.74668 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −8.85728 | −0.373955 | ||||||||
\(562\) | − | 45.6414i | − | 1.92527i | ||||||
\(563\) | − | 2.01874i | − | 0.0850796i | −0.999095 | − | 0.0425398i | \(-0.986455\pi\) | ||
0.999095 | − | 0.0425398i | \(-0.0135449\pi\) | |||||||
\(564\) | 4.47013 | 0.188226 | ||||||||
\(565\) | −24.9906 | − | 3.51114i | −1.05136 | − | 0.147715i | ||||
\(566\) | 4.50760 | 0.189468 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 1.43801i | − | 0.0603375i | ||||||
\(569\) | 28.9590 | 1.21402 | 0.607012 | − | 0.794693i | \(-0.292368\pi\) | ||||
0.607012 | + | 0.794693i | \(0.292368\pi\) | |||||||
\(570\) | −1.43801 | + | 10.2351i | −0.0602315 | + | 0.428700i | ||||
\(571\) | 8.97773 | 0.375706 | 0.187853 | − | 0.982197i | \(-0.439847\pi\) | ||||
0.187853 | + | 0.982197i | \(0.439847\pi\) | |||||||
\(572\) | 20.8573i | 0.872087i | ||||||||
\(573\) | − | 0.488863i | − | 0.0204225i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.89829 | + | 6.62222i | −0.0791642 | + | 0.276165i | ||||
\(576\) | −4.74620 | −0.197758 | ||||||||
\(577\) | − | 28.6766i | − | 1.19382i | −0.802307 | − | 0.596911i | \(-0.796394\pi\) | ||
0.802307 | − | 0.596911i | \(-0.203606\pi\) | |||||||
\(578\) | 4.97280i | 0.206841i | ||||||||
\(579\) | 22.9590 | 0.954143 | ||||||||
\(580\) | −0.381323 | + | 2.71408i | −0.0158336 | + | 0.112696i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | − | 22.7239i | − | 0.941937i | ||||||
\(583\) | − | 18.3684i | − | 0.760742i | ||||||
\(584\) | −1.12981 | −0.0467520 | ||||||||
\(585\) | −14.2351 | − | 2.00000i | −0.588547 | − | 0.0826898i | ||||
\(586\) | 16.0415 | 0.662668 | ||||||||
\(587\) | − | 45.2070i | − | 1.86589i | −0.360018 | − | 0.932945i | \(-0.617229\pi\) | ||
0.360018 | − | 0.932945i | \(-0.382771\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.5906 | 0.518786 | ||||||||
\(590\) | 59.4291 | + | 8.34968i | 2.44666 | + | 0.343751i | ||||
\(591\) | −1.18421 | −0.0487118 | ||||||||
\(592\) | − | 35.1169i | − | 1.44330i | ||||||
\(593\) | − | 18.2636i | − | 0.749998i | −0.927025 | − | 0.374999i | \(-0.877643\pi\) | ||
0.927025 | − | 0.374999i | \(-0.122357\pi\) | |||||||
\(594\) | 3.80642 | 0.156179 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −34.4327 | −1.41042 | ||||||||
\(597\) | − | 8.79706i | − | 0.360040i | ||||||
\(598\) | 16.8573i | 0.689345i | ||||||||
\(599\) | 22.7368 | 0.929002 | 0.464501 | − | 0.885573i | \(-0.346234\pi\) | ||||
0.464501 | + | 0.885573i | \(0.346234\pi\) | |||||||
\(600\) | 3.45584 | + | 0.990632i | 0.141084 | + | 0.0404424i | ||||
\(601\) | −0.488863 | −0.0199411 | −0.00997056 | − | 0.999950i | \(-0.503174\pi\) | ||||
−0.00997056 | + | 0.999950i | \(0.503174\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 2.75557i | − | 0.112215i | ||||||
\(604\) | −27.3461 | −1.11270 | ||||||||
\(605\) | 2.17775 | − | 15.5002i | 0.0885383 | − | 0.630174i | ||||
\(606\) | 2.81579 | 0.114384 | ||||||||
\(607\) | − | 20.2034i | − | 0.820032i | −0.912078 | − | 0.410016i | \(-0.865523\pi\) | ||
0.912078 | − | 0.410016i | \(-0.134477\pi\) | |||||||
\(608\) | − | 17.8292i | − | 0.723069i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −28.8988 | − | 4.06022i | −1.17008 | − | 0.164394i | ||||
\(611\) | −17.7146 | −0.716654 | ||||||||
\(612\) | − | 7.18421i | − | 0.290404i | ||||||
\(613\) | 10.3684i | 0.418776i | 0.977833 | + | 0.209388i | \(0.0671472\pi\) | ||||
−0.977833 | + | 0.209388i | \(0.932853\pi\) | |||||||
\(614\) | 42.9590 | 1.73368 | ||||||||
\(615\) | 18.2351 | + | 2.56199i | 0.735309 | + | 0.103310i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 39.2859i | 1.58159i | 0.612080 | + | 0.790796i | \(0.290333\pi\) | ||||
−0.612080 | + | 0.790796i | \(0.709667\pi\) | |||||||
\(618\) | 16.8573i | 0.678099i | ||||||||
\(619\) | 42.8988 | 1.72425 | 0.862123 | − | 0.506698i | \(-0.169134\pi\) | ||||
0.862123 | + | 0.506698i | \(0.169134\pi\) | |||||||
\(620\) | −2.61639 | + | 18.6222i | −0.105077 | + | 0.747886i | ||||
\(621\) | 1.37778 | 0.0552886 | ||||||||
\(622\) | − | 45.8350i | − | 1.83782i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 29.6543 | 1.18712 | ||||||||
\(625\) | 21.2034 | + | 13.2444i | 0.848137 | + | 0.529777i | ||||
\(626\) | 18.3742 | 0.734383 | ||||||||
\(627\) | 4.85728i | 0.193981i | ||||||||
\(628\) | − | 16.9175i | − | 0.675082i | ||||||
\(629\) | 33.7146 | 1.34429 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.3461 | 0.610920 | 0.305460 | − | 0.952205i | \(-0.401190\pi\) | ||||
0.305460 | + | 0.952205i | \(0.401190\pi\) | |||||||
\(632\) | − | 3.49240i | − | 0.138920i | ||||||
\(633\) | − | 23.2257i | − | 0.923139i | ||||||
\(634\) | −11.4982 | −0.456653 | ||||||||
\(635\) | 28.4701 | + | 4.00000i | 1.12980 | + | 0.158735i | ||||
\(636\) | 14.8988 | 0.590775 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.87601i | 0.113863i | ||||||||
\(639\) | −2.00000 | −0.0791188 | ||||||||
\(640\) | −12.5096 | − | 1.75758i | −0.494486 | − | 0.0694743i | ||||
\(641\) | 30.6735 | 1.21153 | 0.605766 | − | 0.795643i | \(-0.292867\pi\) | ||||
0.605766 | + | 0.795643i | \(0.292867\pi\) | |||||||
\(642\) | − | 3.35905i | − | 0.132571i | ||||||
\(643\) | 49.0607i | 1.93477i | 0.253320 | + | 0.967383i | \(0.418477\pi\) | ||||
−0.253320 | + | 0.967383i | \(0.581523\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.14272 | − | 22.3684i | 0.123745 | − | 0.880756i | ||||
\(646\) | 20.4701 | 0.805386 | ||||||||
\(647\) | − | 15.3461i | − | 0.603319i | −0.953416 | − | 0.301660i | \(-0.902459\pi\) | ||
0.953416 | − | 0.301660i | \(-0.0975406\pi\) | |||||||
\(648\) | − | 0.719004i | − | 0.0282451i | ||||||
\(649\) | 28.2034 | 1.10708 | ||||||||
\(650\) | 58.8069 | + | 16.8573i | 2.30660 | + | 0.661197i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 33.8350i | 1.32508i | ||||||||
\(653\) | − | 19.4697i | − | 0.761906i | −0.924594 | − | 0.380953i | \(-0.875596\pi\) | ||
0.924594 | − | 0.380953i | \(-0.124404\pi\) | |||||||
\(654\) | 10.6824 | 0.417716 | ||||||||
\(655\) | −0.653858 | + | 4.65386i | −0.0255484 | + | 0.181841i | ||||
\(656\) | −37.9871 | −1.48315 | ||||||||
\(657\) | 1.57136i | 0.0613046i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −30.9403 | −1.20526 | −0.602631 | − | 0.798020i | \(-0.705881\pi\) | ||||
−0.602631 | + | 0.798020i | \(0.705881\pi\) | |||||||
\(660\) | −7.18421 | − | 1.00937i | −0.279645 | − | 0.0392896i | ||||
\(661\) | −47.7975 | −1.85911 | −0.929554 | − | 0.368685i | \(-0.879808\pi\) | ||||
−0.929554 | + | 0.368685i | \(0.879808\pi\) | |||||||
\(662\) | − | 25.7146i | − | 0.999425i | ||||||
\(663\) | 28.4701i | 1.10569i | ||||||||
\(664\) | 8.34968 | 0.324030 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −14.4889 | −0.561432 | ||||||||
\(667\) | 1.04101i | 0.0403081i | ||||||||
\(668\) | 24.8948i | 0.963207i | ||||||||
\(669\) | −15.2257 | −0.588659 | ||||||||
\(670\) | −1.63158 | + | 11.6128i | −0.0630336 | + | 0.448643i | ||||
\(671\) | −13.7146 | −0.529445 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.8163i | 1.07224i | 0.844142 | + | 0.536119i | \(0.180110\pi\) | ||||
−0.844142 | + | 0.536119i | \(0.819890\pi\) | |||||||
\(674\) | 19.9625 | 0.768928 | ||||||||
\(675\) | 1.37778 | − | 4.80642i | 0.0530309 | − | 0.184999i | ||||
\(676\) | 45.9532 | 1.76743 | ||||||||
\(677\) | − | 19.0005i | − | 0.730248i | −0.930959 | − | 0.365124i | \(-0.881027\pi\) | ||
0.930959 | − | 0.365124i | \(-0.118973\pi\) | |||||||
\(678\) | − | 21.4795i | − | 0.824915i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.990632 | − | 7.05086i | 0.0379890 | − | 0.270388i | ||||
\(681\) | 14.3684 | 0.550599 | ||||||||
\(682\) | 19.7333i | 0.755627i | ||||||||
\(683\) | 4.52051i | 0.172972i | 0.996253 | + | 0.0864862i | \(0.0275638\pi\) | ||||
−0.996253 | + | 0.0864862i | \(0.972436\pi\) | |||||||
\(684\) | −3.93978 | −0.150641 | ||||||||
\(685\) | −35.2958 | − | 4.95899i | −1.34858 | − | 0.189473i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.61285i | 0.214143i | ||||||||
\(688\) | 46.5977i | 1.77652i | ||||||||
\(689\) | −59.0420 | −2.24932 | ||||||||
\(690\) | −5.80642 | − | 0.815792i | −0.221047 | − | 0.0310567i | ||||
\(691\) | 1.18421 | 0.0450494 | 0.0225247 | − | 0.999746i | \(-0.492830\pi\) | ||||
0.0225247 | + | 0.999746i | \(0.492830\pi\) | |||||||
\(692\) | − | 3.34213i | − | 0.127049i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −31.8292 | −1.20822 | ||||||||
\(695\) | −3.63158 | + | 25.8479i | −0.137754 | + | 0.980467i | ||||
\(696\) | 0.543257 | 0.0205921 | ||||||||
\(697\) | − | 36.4701i | − | 1.38140i | ||||||
\(698\) | 31.1526i | 1.17914i | ||||||||
\(699\) | −23.2859 | −0.880754 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.6735 | −1.00745 | −0.503723 | − | 0.863865i | \(-0.668037\pi\) | ||||
−0.503723 | + | 0.863865i | \(0.668037\pi\) | |||||||
\(702\) | − | 12.2351i | − | 0.461783i | ||||||
\(703\) | − | 18.4889i | − | 0.697321i | ||||||
\(704\) | 9.49240 | 0.357758 | ||||||||
\(705\) | 0.857279 | − | 6.10171i | 0.0322870 | − | 0.229804i | ||||
\(706\) | 1.04503 | 0.0393301 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 22.8760i | 0.859733i | ||||||||
\(709\) | 18.2034 | 0.683644 | 0.341822 | − | 0.939765i | \(-0.388956\pi\) | ||||
0.341822 | + | 0.939765i | \(0.388956\pi\) | |||||||
\(710\) | 8.42864 | + | 1.18421i | 0.316321 | + | 0.0444425i | ||||
\(711\) | −4.85728 | −0.182162 | ||||||||
\(712\) | − | 3.32339i | − | 0.124549i | ||||||
\(713\) | 7.14272i | 0.267497i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.4701 | + | 4.00000i | 1.06472 | + | 0.149592i | ||||
\(716\) | 16.2222 | 0.606250 | ||||||||
\(717\) | − | 8.48886i | − | 0.317022i | ||||||
\(718\) | − | 0.543257i | − | 0.0202742i | ||||||
\(719\) | 4.85728 | 0.181146 | 0.0905730 | − | 0.995890i | \(-0.471130\pi\) | ||||
0.0905730 | + | 0.995890i | \(0.471130\pi\) | |||||||
\(720\) | −1.43509 | + | 10.2143i | −0.0534828 | + | 0.380665i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 24.9353i | 0.927997i | ||||||||
\(723\) | − | 7.24443i | − | 0.269423i | ||||||
\(724\) | −19.6316 | −0.729602 | ||||||||
\(725\) | 3.63158 | + | 1.04101i | 0.134874 | + | 0.0386622i | ||||
\(726\) | 13.3225 | 0.494444 | ||||||||
\(727\) | 21.0607i | 0.781098i | 0.920582 | + | 0.390549i | \(0.127715\pi\) | ||||
−0.920582 | + | 0.390549i | \(0.872285\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0.930409 | − | 6.62222i | 0.0344360 | − | 0.245099i | ||||
\(731\) | −44.7368 | −1.65465 | ||||||||
\(732\) | − | 11.1240i | − | 0.411154i | ||||||
\(733\) | − | 9.45091i | − | 0.349077i | −0.984650 | − | 0.174539i | \(-0.944157\pi\) | ||
0.984650 | − | 0.174539i | \(-0.0558434\pi\) | |||||||
\(734\) | −3.26317 | −0.120446 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.1146 | 0.372830 | ||||||||
\(737\) | 5.51114i | 0.203005i | ||||||||
\(738\) | 15.6731i | 0.576934i | ||||||||
\(739\) | 8.20342 | 0.301768 | 0.150884 | − | 0.988551i | \(-0.451788\pi\) | ||||
0.150884 | + | 0.988551i | \(0.451788\pi\) | |||||||
\(740\) | 27.3461 | + | 3.84208i | 1.00526 | + | 0.141238i | ||||
\(741\) | 15.6128 | 0.573552 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 8.33677i | 0.305847i | 0.988238 | + | 0.152923i | \(0.0488687\pi\) | ||||
−0.988238 | + | 0.152923i | \(0.951131\pi\) | |||||||
\(744\) | 3.72746 | 0.136655 | ||||||||
\(745\) | −6.60348 | + | 47.0005i | −0.241933 | + | 1.72196i | ||||
\(746\) | −30.4514 | −1.11490 | ||||||||
\(747\) | − | 11.6128i | − | 0.424892i | ||||||
\(748\) | 14.3684i | 0.525361i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −8.65233 | + | 19.4400i | −0.315938 | + | 0.709849i | ||||
\(751\) | −25.9180 | −0.945760 | −0.472880 | − | 0.881127i | \(-0.656786\pi\) | ||||
−0.472880 | + | 0.881127i | \(0.656786\pi\) | |||||||
\(752\) | 12.7110i | 0.463523i | ||||||||
\(753\) | 27.6128i | 1.00627i | ||||||||
\(754\) | 9.24443 | 0.336662 | ||||||||
\(755\) | −5.24443 | + | 37.3274i | −0.190864 | + | 1.35848i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 8.94025i | − | 0.324939i | −0.986714 | − | 0.162470i | \(-0.948054\pi\) | ||
0.986714 | − | 0.162470i | \(-0.0519459\pi\) | |||||||
\(758\) | − | 9.24443i | − | 0.335773i | ||||||
\(759\) | −2.75557 | −0.100021 | ||||||||
\(760\) | −3.86665 | − | 0.543257i | −0.140258 | − | 0.0197060i | ||||
\(761\) | 0.825636 | 0.0299293 | 0.0149646 | − | 0.999888i | \(-0.495236\pi\) | ||||
0.0149646 | + | 0.999888i | \(0.495236\pi\) | |||||||
\(762\) | 24.4701i | 0.886459i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.793040 | −0.0286912 | ||||||||
\(765\) | −9.80642 | − | 1.37778i | −0.354552 | − | 0.0498139i | ||||
\(766\) | −15.9625 | −0.576750 | ||||||||
\(767\) | − | 90.6548i | − | 3.27336i | ||||||
\(768\) | − | 20.2444i | − | 0.730508i | ||||||
\(769\) | 21.2257 | 0.765418 | 0.382709 | − | 0.923869i | \(-0.374991\pi\) | ||||
0.382709 | + | 0.923869i | \(0.374991\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.428639 | 0.0154371 | ||||||||
\(772\) | − | 37.2444i | − | 1.34046i | ||||||
\(773\) | − | 29.4893i | − | 1.06066i | −0.847792 | − | 0.530329i | \(-0.822068\pi\) | ||
0.847792 | − | 0.530329i | \(-0.177932\pi\) | |||||||
\(774\) | 19.2257 | 0.691053 | ||||||||
\(775\) | 24.9175 | + | 7.14272i | 0.895063 | + | 0.256574i | ||||
\(776\) | 8.58474 | 0.308174 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.0509i | 0.611303i | ||||||||
\(779\) | −20.0000 | −0.716574 | ||||||||
\(780\) | −3.24443 | + | 23.0923i | −0.116169 | + | 0.826838i | ||||
\(781\) | 4.00000 | 0.143131 | ||||||||
\(782\) | 11.6128i | 0.415275i | ||||||||
\(783\) | − | 0.755569i | − | 0.0270018i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −23.0923 | − | 3.24443i | −0.824201 | − | 0.115799i | ||||
\(786\) | −4.00000 | −0.142675 | ||||||||
\(787\) | − | 34.4514i | − | 1.22806i | −0.789283 | − | 0.614030i | \(-0.789547\pi\) | ||
0.789283 | − | 0.614030i | \(-0.210453\pi\) | |||||||
\(788\) | 1.92104i | 0.0684343i | ||||||||
\(789\) | 9.37778 | 0.333858 | ||||||||
\(790\) | 20.4701 | + | 2.87601i | 0.728294 | + | 0.102324i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 1.43801i | 0.0510974i | ||||||||
\(793\) | 44.0830i | 1.56543i | ||||||||
\(794\) | 4.85145 | 0.172172 | ||||||||
\(795\) | 2.85728 | − | 20.3368i | 0.101337 | − | 0.721271i | ||||
\(796\) | −14.2707 | −0.505812 | ||||||||
\(797\) | 18.9175i | 0.670092i | 0.942202 | + | 0.335046i | \(0.108752\pi\) | ||||
−0.942202 | + | 0.335046i | \(0.891248\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.2034 | −0.431726 | ||||||||
\(800\) | 10.1146 | − | 35.2850i | 0.357606 | − | 1.24751i | ||||
\(801\) | −4.62222 | −0.163318 | ||||||||
\(802\) | − | 1.82516i | − | 0.0644486i | ||||||
\(803\) | − | 3.14272i | − | 0.110904i | ||||||
\(804\) | −4.47013 | −0.157649 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 63.4291 | 2.23420 | ||||||||
\(807\) | − | 1.74620i | − | 0.0614692i | ||||||
\(808\) | 1.06376i | 0.0374230i | ||||||||
\(809\) | −21.2257 | −0.746256 | −0.373128 | − | 0.927780i | \(-0.621715\pi\) | ||||
−0.373128 | + | 0.927780i | \(0.621715\pi\) | |||||||
\(810\) | 4.21432 | + | 0.592104i | 0.148076 | + | 0.0208044i | ||||
\(811\) | 21.5081 | 0.755251 | 0.377625 | − | 0.925958i | \(-0.376741\pi\) | ||||
0.377625 | + | 0.925958i | \(0.376741\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 2.69535i | − | 0.0945299i | ||||||
\(814\) | 28.9777 | 1.01567 | ||||||||
\(815\) | 46.1847 | + | 6.48886i | 1.61778 | + | 0.227295i | ||||
\(816\) | 20.4286 | 0.715145 | ||||||||
\(817\) | 24.5334i | 0.858315i | ||||||||
\(818\) | 60.8671i | 2.12817i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.15610 | − | 29.5812i | 0.145137 | − | 1.03302i | ||||
\(821\) | −46.2034 | −1.61251 | −0.806255 | − | 0.591568i | \(-0.798509\pi\) | ||||
−0.806255 | + | 0.591568i | \(0.798509\pi\) | |||||||
\(822\) | − | 30.3368i | − | 1.05812i | ||||||
\(823\) | − | 17.8350i | − | 0.621689i | −0.950461 | − | 0.310845i | \(-0.899388\pi\) | ||
0.950461 | − | 0.310845i | \(-0.100612\pi\) | |||||||
\(824\) | −6.36842 | −0.221854 | ||||||||
\(825\) | −2.75557 | + | 9.61285i | −0.0959366 | + | 0.334676i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 35.2128i | − | 1.22447i | −0.790676 | − | 0.612234i | \(-0.790271\pi\) | ||
0.790676 | − | 0.612234i | \(-0.209729\pi\) | |||||||
\(828\) | − | 2.23506i | − | 0.0776738i | ||||||
\(829\) | 14.3872 | 0.499686 | 0.249843 | − | 0.968286i | \(-0.419621\pi\) | ||||
0.249843 | + | 0.968286i | \(0.419621\pi\) | |||||||
\(830\) | −6.87601 | + | 48.9403i | −0.238670 | + | 1.69874i | ||||
\(831\) | −5.12399 | −0.177749 | ||||||||
\(832\) | − | 30.5116i | − | 1.05780i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −22.2163 | −0.769289 | ||||||||
\(835\) | 33.9813 | + | 4.77430i | 1.17597 | + | 0.165222i | ||||
\(836\) | 7.87955 | 0.272520 | ||||||||
\(837\) | − | 5.18421i | − | 0.179192i | ||||||
\(838\) | 0.894751i | 0.0309087i | ||||||||
\(839\) | 1.51114 | 0.0521703 | 0.0260851 | − | 0.999660i | \(-0.491696\pi\) | ||||
0.0260851 | + | 0.999660i | \(0.491696\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.4291 | −0.980314 | ||||||||
\(842\) | 63.9724i | 2.20463i | ||||||||
\(843\) | − | 23.9813i | − | 0.825959i | ||||||
\(844\) | −37.6771 | −1.29690 | ||||||||
\(845\) | 8.81288 | − | 62.7259i | 0.303172 | − | 2.15784i | ||||
\(846\) | 5.24443 | 0.180307 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 42.3654i | 1.45483i | ||||||||
\(849\) | 2.36842 | 0.0812838 | ||||||||
\(850\) | 40.5116 | + | 11.6128i | 1.38954 | + | 0.398317i | ||||
\(851\) | 10.4889 | 0.359554 | ||||||||
\(852\) | 3.24443i | 0.111152i | ||||||||
\(853\) | 15.4064i | 0.527504i | 0.964591 | + | 0.263752i | \(0.0849600\pi\) | ||||
−0.964591 | + | 0.263752i | \(0.915040\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.755569 | + | 5.37778i | −0.0258399 | + | 0.183916i | ||||
\(856\) | 1.26900 | 0.0433734 | ||||||||
\(857\) | 19.8578i | 0.678328i | 0.940727 | + | 0.339164i | \(0.110144\pi\) | ||||
−0.940727 | + | 0.339164i | \(0.889856\pi\) | |||||||
\(858\) | 24.4701i | 0.835396i | ||||||||
\(859\) | 2.42864 | 0.0828641 | 0.0414321 | − | 0.999141i | \(-0.486808\pi\) | ||||
0.0414321 | + | 0.999141i | \(0.486808\pi\) | |||||||
\(860\) | −36.2864 | − | 5.09817i | −1.23736 | − | 0.173846i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 22.2953i | − | 0.759380i | ||||||
\(863\) | − | 39.2958i | − | 1.33764i | −0.743423 | − | 0.668822i | \(-0.766799\pi\) | ||
0.743423 | − | 0.668822i | \(-0.233201\pi\) | |||||||
\(864\) | −7.34122 | −0.249753 | ||||||||
\(865\) | −4.56199 | − | 0.640951i | −0.155112 | − | 0.0217930i | ||||
\(866\) | −0.114617 | −0.00389485 | ||||||||
\(867\) | 2.61285i | 0.0887370i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 9.71456 | 0.329544 | ||||||||
\(870\) | −0.447375 | + | 3.18421i | −0.0151674 | + | 0.107955i | ||||
\(871\) | 17.7146 | 0.600235 | ||||||||
\(872\) | 4.03566i | 0.136665i | ||||||||
\(873\) | − | 11.9398i | − | 0.404100i | ||||||
\(874\) | 6.36842 | 0.215415 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.54909 | 0.0861256 | ||||||||
\(877\) | 56.2864i | 1.90066i | 0.311249 | + | 0.950328i | \(0.399253\pi\) | ||||
−0.311249 | + | 0.950328i | \(0.600747\pi\) | |||||||
\(878\) | 42.6865i | 1.44060i | ||||||||
\(879\) | 8.42864 | 0.284291 | ||||||||
\(880\) | 2.87019 | − | 20.4286i | 0.0967539 | − | 0.688649i | ||||
\(881\) | 2.33677 | 0.0787279 | 0.0393640 | − | 0.999225i | \(-0.487467\pi\) | ||||
0.0393640 | + | 0.999225i | \(0.487467\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 33.7146i | 1.13459i | 0.823516 | + | 0.567293i | \(0.192009\pi\) | ||||
−0.823516 | + | 0.567293i | \(0.807991\pi\) | |||||||
\(884\) | 46.1847 | 1.55336 | ||||||||
\(885\) | 31.2257 | + | 4.38715i | 1.04964 | + | 0.147473i | ||||
\(886\) | 45.5812 | 1.53133 | ||||||||
\(887\) | 47.8992i | 1.60830i | 0.594427 | + | 0.804150i | \(0.297379\pi\) | ||||
−0.594427 | + | 0.804150i | \(0.702621\pi\) | |||||||
\(888\) | − | 5.47367i | − | 0.183684i | ||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 19.4795 | + | 2.73683i | 0.652954 | + | 0.0917388i | ||||
\(891\) | 2.00000 | 0.0670025 | ||||||||
\(892\) | 24.6994i | 0.826996i | ||||||||
\(893\) | 6.69228i | 0.223949i | ||||||||
\(894\) | −40.3970 | −1.35108 | ||||||||
\(895\) | 3.11108 | − | 22.1432i | 0.103992 | − | 0.740165i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.85728i | 0.295736i | ||||||||
\(898\) | 56.0098i | 1.86907i | ||||||||
\(899\) | 3.91703 | 0.130640 | ||||||||
\(900\) | −7.79706 | − | 2.23506i | −0.259902 | − | 0.0745021i | ||||
\(901\) | −40.6735 | −1.35503 | ||||||||
\(902\) | − | 31.3461i | − | 1.04371i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.11462 | 0.269888 | ||||||||
\(905\) | −3.76494 | + | 26.7971i | −0.125151 | + | 0.890764i | ||||
\(906\) | −32.0830 | −1.06589 | ||||||||
\(907\) | − | 23.7591i | − | 0.788908i | −0.918916 | − | 0.394454i | \(-0.870934\pi\) | ||
0.918916 | − | 0.394454i | \(-0.129066\pi\) | |||||||
\(908\) | − | 23.3087i | − | 0.773525i | ||||||
\(909\) | 1.47949 | 0.0490717 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.9403 | 0.760045 | 0.380022 | − | 0.924977i | \(-0.375916\pi\) | ||||
0.380022 | + | 0.924977i | \(0.375916\pi\) | |||||||
\(912\) | − | 11.2029i | − | 0.370967i | ||||||
\(913\) | 23.2257i | 0.768658i | ||||||||
\(914\) | −5.98126 | −0.197843 | ||||||||
\(915\) | −15.1842 | − | 2.13335i | −0.501974 | − | 0.0705265i | ||||
\(916\) | 9.10525 | 0.300846 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | − | 8.42864i | − | 0.278187i | ||||||
\(919\) | −16.9777 | −0.560043 | −0.280022 | − | 0.959994i | \(-0.590342\pi\) | ||||
−0.280022 | + | 0.959994i | \(0.590342\pi\) | |||||||
\(920\) | 0.308193 | − | 2.19358i | 0.0101608 | − | 0.0723201i | ||||
\(921\) | 22.5718 | 0.743767 | ||||||||
\(922\) | − | 6.42864i | − | 0.211716i | ||||||
\(923\) | − | 12.8573i | − | 0.423202i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.4889 | − | 36.5906i | 0.344872 | − | 1.20309i | ||||
\(926\) | −39.6958 | −1.30449 | ||||||||
\(927\) | 8.85728i | 0.290911i | ||||||||
\(928\) | − | 5.54680i | − | 0.182082i | ||||||
\(929\) | 39.3403 | 1.29071 | 0.645357 | − | 0.763881i | \(-0.276709\pi\) | ||||
0.645357 | + | 0.763881i | \(0.276709\pi\) | |||||||
\(930\) | −3.06959 | + | 21.8479i | −0.100656 | + | 0.716421i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 37.7748i | 1.23735i | ||||||||
\(933\) | − | 24.0830i | − | 0.788441i | ||||||
\(934\) | 27.3461 | 0.894793 | ||||||||
\(935\) | 19.6128 | + | 2.75557i | 0.641409 | + | 0.0901167i | ||||
\(936\) | 4.62222 | 0.151082 | ||||||||
\(937\) | − | 17.7748i | − | 0.580677i | −0.956924 | − | 0.290338i | \(-0.906232\pi\) | ||
0.956924 | − | 0.290338i | \(-0.0937679\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.65433 | 0.315057 | ||||||||
\(940\) | −9.89829 | − | 1.39069i | −0.322847 | − | 0.0453594i | ||||
\(941\) | −35.5812 | −1.15991 | −0.579957 | − | 0.814647i | \(-0.696931\pi\) | ||||
−0.579957 | + | 0.814647i | \(0.696931\pi\) | |||||||
\(942\) | − | 19.8479i | − | 0.646680i | ||||||
\(943\) | − | 11.3461i | − | 0.369481i | ||||||
\(944\) | −65.0490 | −2.11717 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −38.4514 | −1.25016 | ||||||||
\(947\) | − | 30.5018i | − | 0.991174i | −0.868558 | − | 0.495587i | \(-0.834953\pi\) | ||
0.868558 | − | 0.495587i | \(-0.165047\pi\) | |||||||
\(948\) | 7.87955i | 0.255916i | ||||||||
\(949\) | −10.1017 | −0.327915 | ||||||||
\(950\) | 6.36842 | − | 22.2163i | 0.206619 | − | 0.720793i | ||||
\(951\) | −6.04149 | −0.195909 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 51.1655i | − | 1.65741i | −0.559684 | − | 0.828706i | \(-0.689077\pi\) | ||
0.559684 | − | 0.828706i | \(-0.310923\pi\) | |||||||
\(954\) | 17.4795 | 0.565920 | ||||||||
\(955\) | −0.152089 | + | 1.08250i | −0.00492148 | + | 0.0350288i | ||||
\(956\) | −13.7708 | −0.445378 | ||||||||
\(957\) | 1.51114i | 0.0488481i | ||||||||
\(958\) | − | 12.1204i | − | 0.391594i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 10.5096 | + | 1.47658i | 0.339196 | + | 0.0476564i | ||||
\(961\) | −4.12399 | −0.133032 | ||||||||
\(962\) | − | 93.1437i | − | 3.00307i | ||||||
\(963\) | − | 1.76494i | − | 0.0568743i | ||||||
\(964\) | −11.7520 | −0.378507 | ||||||||
\(965\) | −50.8385 | − | 7.14272i | −1.63655 | − | 0.229932i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 47.8992i | − | 1.54034i | −0.637841 | − | 0.770168i | \(-0.720172\pi\) | ||
0.637841 | − | 0.770168i | \(-0.279828\pi\) | |||||||
\(968\) | 5.03303i | 0.161768i | ||||||||
\(969\) | 10.7556 | 0.345519 | ||||||||
\(970\) | −7.06959 | + | 50.3180i | −0.226991 | + | 1.61561i | ||||
\(971\) | −40.6735 | −1.30528 | −0.652638 | − | 0.757670i | \(-0.726338\pi\) | ||||
−0.652638 | + | 0.757670i | \(0.726338\pi\) | |||||||
\(972\) | 1.62222i | 0.0520326i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 32.9777 | 1.05667 | ||||||||
\(975\) | 30.8988 | + | 8.85728i | 0.989552 | + | 0.283660i | ||||
\(976\) | 31.6316 | 1.01250 | ||||||||
\(977\) | 27.4893i | 0.879462i | 0.898130 | + | 0.439731i | \(0.144926\pi\) | ||||
−0.898130 | + | 0.439731i | \(0.855074\pi\) | |||||||
\(978\) | 39.6958i | 1.26933i | ||||||||
\(979\) | 9.24443 | 0.295453 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.61285 | 0.179204 | ||||||||
\(982\) | − | 3.80642i | − | 0.121468i | ||||||
\(983\) | − | 24.0000i | − | 0.765481i | −0.923856 | − | 0.382741i | \(-0.874980\pi\) | ||
0.923856 | − | 0.382741i | \(-0.125020\pi\) | |||||||
\(984\) | −5.92104 | −0.188756 | ||||||||
\(985\) | 2.62222 | + | 0.368416i | 0.0835507 | + | 0.0117387i | ||||
\(986\) | 6.36842 | 0.202812 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 25.3274i | − | 0.805772i | ||||||
\(989\) | −13.9180 | −0.442566 | ||||||||
\(990\) | −8.42864 | − | 1.18421i | −0.267880 | − | 0.0376366i | ||||
\(991\) | −34.6923 | −1.10204 | −0.551018 | − | 0.834493i | \(-0.685761\pi\) | ||||
−0.551018 | + | 0.834493i | \(0.685761\pi\) | |||||||
\(992\) | − | 38.0584i | − | 1.20836i | ||||||
\(993\) | − | 13.5111i | − | 0.428763i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.73683 | + | 19.4795i | −0.0867634 | + | 0.617541i | ||||
\(996\) | −18.8385 | −0.596922 | ||||||||
\(997\) | − | 28.6766i | − | 0.908197i | −0.890951 | − | 0.454099i | \(-0.849961\pi\) | ||
0.890951 | − | 0.454099i | \(-0.150039\pi\) | |||||||
\(998\) | 44.4327i | 1.40649i | ||||||||
\(999\) | −7.61285 | −0.240860 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 735.2.d.b.589.2 | 6 | ||
3.2 | odd | 2 | 2205.2.d.l.1324.5 | 6 | |||
5.2 | odd | 4 | 3675.2.a.bi.1.3 | 3 | |||
5.3 | odd | 4 | 3675.2.a.bj.1.1 | 3 | |||
5.4 | even | 2 | inner | 735.2.d.b.589.5 | 6 | ||
7.2 | even | 3 | 735.2.q.f.214.2 | 12 | |||
7.3 | odd | 6 | 735.2.q.e.79.5 | 12 | |||
7.4 | even | 3 | 735.2.q.f.79.5 | 12 | |||
7.5 | odd | 6 | 735.2.q.e.214.2 | 12 | |||
7.6 | odd | 2 | 105.2.d.b.64.2 | ✓ | 6 | ||
15.14 | odd | 2 | 2205.2.d.l.1324.2 | 6 | |||
21.20 | even | 2 | 315.2.d.e.64.5 | 6 | |||
28.27 | even | 2 | 1680.2.t.k.1009.2 | 6 | |||
35.4 | even | 6 | 735.2.q.f.79.2 | 12 | |||
35.9 | even | 6 | 735.2.q.f.214.5 | 12 | |||
35.13 | even | 4 | 525.2.a.k.1.1 | 3 | |||
35.19 | odd | 6 | 735.2.q.e.214.5 | 12 | |||
35.24 | odd | 6 | 735.2.q.e.79.2 | 12 | |||
35.27 | even | 4 | 525.2.a.j.1.3 | 3 | |||
35.34 | odd | 2 | 105.2.d.b.64.5 | yes | 6 | ||
84.83 | odd | 2 | 5040.2.t.v.1009.4 | 6 | |||
105.62 | odd | 4 | 1575.2.a.x.1.1 | 3 | |||
105.83 | odd | 4 | 1575.2.a.w.1.3 | 3 | |||
105.104 | even | 2 | 315.2.d.e.64.2 | 6 | |||
140.27 | odd | 4 | 8400.2.a.dg.1.3 | 3 | |||
140.83 | odd | 4 | 8400.2.a.dj.1.1 | 3 | |||
140.139 | even | 2 | 1680.2.t.k.1009.5 | 6 | |||
420.419 | odd | 2 | 5040.2.t.v.1009.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.d.b.64.2 | ✓ | 6 | 7.6 | odd | 2 | ||
105.2.d.b.64.5 | yes | 6 | 35.34 | odd | 2 | ||
315.2.d.e.64.2 | 6 | 105.104 | even | 2 | |||
315.2.d.e.64.5 | 6 | 21.20 | even | 2 | |||
525.2.a.j.1.3 | 3 | 35.27 | even | 4 | |||
525.2.a.k.1.1 | 3 | 35.13 | even | 4 | |||
735.2.d.b.589.2 | 6 | 1.1 | even | 1 | trivial | ||
735.2.d.b.589.5 | 6 | 5.4 | even | 2 | inner | ||
735.2.q.e.79.2 | 12 | 35.24 | odd | 6 | |||
735.2.q.e.79.5 | 12 | 7.3 | odd | 6 | |||
735.2.q.e.214.2 | 12 | 7.5 | odd | 6 | |||
735.2.q.e.214.5 | 12 | 35.19 | odd | 6 | |||
735.2.q.f.79.2 | 12 | 35.4 | even | 6 | |||
735.2.q.f.79.5 | 12 | 7.4 | even | 3 | |||
735.2.q.f.214.2 | 12 | 7.2 | even | 3 | |||
735.2.q.f.214.5 | 12 | 35.9 | even | 6 | |||
1575.2.a.w.1.3 | 3 | 105.83 | odd | 4 | |||
1575.2.a.x.1.1 | 3 | 105.62 | odd | 4 | |||
1680.2.t.k.1009.2 | 6 | 28.27 | even | 2 | |||
1680.2.t.k.1009.5 | 6 | 140.139 | even | 2 | |||
2205.2.d.l.1324.2 | 6 | 15.14 | odd | 2 | |||
2205.2.d.l.1324.5 | 6 | 3.2 | odd | 2 | |||
3675.2.a.bi.1.3 | 3 | 5.2 | odd | 4 | |||
3675.2.a.bj.1.1 | 3 | 5.3 | odd | 4 | |||
5040.2.t.v.1009.3 | 6 | 420.419 | odd | 2 | |||
5040.2.t.v.1009.4 | 6 | 84.83 | odd | 2 | |||
8400.2.a.dg.1.3 | 3 | 140.27 | odd | 4 | |||
8400.2.a.dj.1.1 | 3 | 140.83 | odd | 4 |